Titlebook: Cellular Automata: Analysis and Applications; Karl-Peter Hadeler,Johannes Müller Book 2017 Springer International Publishing AG 2017 cellu

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Surjectivity and Injectivity of Global Maps,amical system defined by a cellular automaton is reversible. Physicists use cellular automata as simple models for microscopic processes. Hence there should be some interest to identify those cellular automata that can be reversed in time, i.e., which have a bijective global function [163].

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Objektorientierte Datenbankprogrammierungscrete setting. Nowadays scientists try to formulate their mathematical models in the language of continuous time and space, as integral equations or, more often, as ordinary or partial differential equations.

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Objektorientierte Datenbankprogrammierungsmall entities, described on a small spatial scale, do not follow strict deterministic laws but are subject to stochastic variation. Hence it is quite natural to generalize the concept of a cellular automaton in such a way that the local rule depends on random variables.

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https://doi.org/10.1007/978-3-322-86832-9nite. A perturbation of a state is considered small if it agrees with the state on a (large, but finite) region around the origin. The states at cells in the remaining, infinite part of the grid may be arbitrary. The intuitive idea of a “small perturbation” is not met by the concept of the Cantor metric.

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Besicovitch and Weyl Topologies,nite. A perturbation of a state is considered small if it agrees with the state on a (large, but finite) region around the origin. The states at cells in the remaining, infinite part of the grid may be arbitrary. The intuitive idea of a “small perturbation” is not met by the concept of the Cantor metric.

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Book 2017on), and the theory of formal languages and grammars (Kůrka classification)? These classifications suggest that cellular automata be clustered, similar to the classification of partial differential equations into hyperbolic, parabolic and elliptic equations. This part of the book culminates in the q